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Finding the Fourth Proportional to 673,997,911.15, 1,010,996,866.73 and 673,997,911.15

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Solution

The fourth proportional to 673,997,911.15, 1,010,996,866.73 and 673,997,911.15 is: 1,010,996,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,997,911.15 : 1,010,996,866.73 = 673,997,911.15 : x
  2. Step 2: Convert to fraction form
    673,997,911.15/1,010,996,866.73 = 673,997,911.15/x
  3. Step 3: Cross multiply
    673,997,911.15x = 1,010,996,866.73 × 673,997,911.15
  4. Step 4: Simplify right side
    673,997,911.15x = 681,409,776,355,214,976
  5. Step 5: Solve for x
    x = 681,409,776,355,214,976/673,997,911.15
  6. Step 6: Final answer
    x = 1,010,996,866.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.